The second-order ordinary differential equation
![y^('')+[(alphaeta)/(1+eta)+(betaeta)/((1+eta)^2)+gamma]y=0,](/images/equations/EckartDifferentialEquation/NumberedEquation1.svg) |
where 
.
Eckart Differential Equation
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References
Barut, A. O.; Inomata, A.; and Wilson, R. "Algebraic Treatment of Second Pöschl-Teller, Morse-Rosen, and Eckart Equations." J. Phys. A: Math. Gen. 20, 4083-4096, 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 122, 1997.Referenced on Wolfram|Alpha
Eckart Differential EquationCite this as:
Weisstein, Eric W. "Eckart Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EckartDifferentialEquation.html